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Finding the Fourth Proportional to 13,648.10, 20,465.31 and 4,287.99

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Solution

The fourth proportional to 13,648.10, 20,465.31 and 4,287.99 is: 6,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.10 : 20,465.31 = 4,287.99 : x
  2. Step 2: Convert to fraction form
    13,648.10/20,465.31 = 4,287.99/x
  3. Step 3: Cross multiply
    13,648.10x = 20,465.31 × 4,287.99
  4. Step 4: Simplify right side
    13,648.10x = 87,755,137.45
  5. Step 5: Solve for x
    x = 87,755,137.45/13,648.10
  6. Step 6: Final answer
    x = 6,429.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.